English

Symbolic powers of certain cover ideals of graphs

Commutative Algebra 2021-02-08 v2

Abstract

In this paper, we compute the regularity and Hilbert series of symbolic powers of the cover ideal of a graph GG when GG is either a crown graph or a complete multipartite graph. We also compute the multiplicity of symbolic powers of cover ideals in terms of the number of edges.

Keywords

Cite

@article{arxiv.1903.00178,
  title  = {Symbolic powers of certain cover ideals of graphs},
  author = {Arvind Kumar and Rajiv Kumar and Rajib Sarkar and S. Selvaraja},
  journal= {arXiv preprint arXiv:1903.00178},
  year   = {2021}
}

Comments

14 pages. Suggestions and comments are welcome